38121568 has 48 divisors (see below), whose sum is σ = 78575616. Its totient is φ = 18184320.

The previous prime is 38121547. The next prime is 38121583. The reversal of 38121568 is 86512183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82105 + ... + 82567.

It is an arithmetic number, because the mean of its divisors is an integer number (1636992).

Almost surely, 2^38121568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38121568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39287808).

38121568 is an abundant number, since it is smaller than the sum of its proper divisors (40454048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38121568 is a wasteful number, since it uses less digits than its factorization.

38121568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 38121568 is about 6174.2665961230. The cubic root of 38121568 is about 336.5556753800. Note that the first 3 decimals are identical.

The spelling of 38121568 in words is "thirty-eight million, one hundred twenty-one thousand, five hundred sixty-eight".